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2 years ago

True or false if the dimensions of a cylinder are doubled then its volume is quadrupled.

2 answers:

8 0

VOLUME OF A CYLINDER = pi X r X r X h

pi X 2r X 2r X 2h = 8pir^2h 

Volume is 8 times 

ANSWER IS FALSE

Travka [436]2 years ago

7 0

Answer: The given statement is FALSE.

Step-by-step explanation: We are given to check whether the following statement is true or false :

"If the dimensions of a cylinder are doubled then its volume is quadrupled."

We know that

the volume of a cylinder with radius r units and height h units is given by

$V=\pi r^2h.$

If the dimensions are doubled, then the new dimensions will be

R = 2r and H = 2h.

Therefore, the new volume will be

$V'=\pi R^2H=\pi \times(2r)^2\times (2h)=8\times \pi r^2 h=8V.$

Thus, the volume of the new cylinder will be 8 times the original one, not quadrupled.

So, the given statement is FALSE.

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Answer:

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Step-by-step explanation:

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2 years ago

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solong [7]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

Read 2 more answers

determine whether the lines intersect and if so find the point of intersection and the cosine of the angle of intersection x=4t+

Fittoniya [83]

Answer:

As the lines are not intersecting nor parallel, they must be skew.

Step-by-step explanation:

Question is incomplete, we consider the nearest match available online.

Parametric equations of two lines are:

L₁ : x=4t+2 , y = 3 , z =-t+1

L₂: x=2s+2 , y= 2s+5 , z = s+1

If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

$4t+2=2s+2 ---(1)\\ \\3=2s+5---(2) \\\\-t+1=s+1---(3)$

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

$From (3)\\-t=s\\From (2)\\\\s=\frac{3-5}{2}\\\\s=-1\\\implies t=1\\\\To\,\,check\,\, the \,\,values \,\,of \,\,s\,\, and \,\,t \,\,for\,\,intersection\,\,put \,\,them\,\, in\,\, (1)\\\\4(1)+2= 2(-1)+2\\ 6\ne0$

Hence the lines are not intersecting nor parallel, they must be skew.

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2 years ago

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Answer:

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Step-by-step explanation:

multiply w l h

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